Numerical Relativity as a Tool for Studying the Early Universe

Table 1

Consistency of standard model of cosmology parameters test results.

	𝑡	𝑇	𝜌𝜖	𝐻	𝑎
Initial	10^−6	4.120×10^13	1.091×10^23	2.401×10^26	1.0
Final	8.629×10^1	4.446×10^9	1.480×10^7	2.792×10^18	9.289×10^3
Final/initial	8.629×10^7	1.079×10^−4	1.357×10^−16	1.163×10^−8	9.289×10^3
𝑡^a	8.629×10^7	8.586×10^7	8.586×10^7	8.601×10^7	8.629×10^7
𝑇^a	1.077×10^−4	1.079×10^−4	1.079×10^−4	1.078×10^−4	1.077×10^−4
𝜌𝜀^a	1.343×10^−16	1.357×10^−16	1.357×10^−16	1.352×10^−16	1.343×10^−16
𝐻^a	1.159×10^−8	1.165×10^−8	1.165×10^−8	1.163×10^−8	1.159×10^−8
𝑎^a	9.289×10^3	9.266×10^3	9.266×10^3	9.274×10^3	9.289×10^3
𝑡^b	0.0	4.338×10^5	4.338×10^7	2.824×10^5	−2.980×10^−7
𝑇^b	2.716×10^−7	0.0	−5.833×10^−16	9.506×10^−8	2.716×10^−7
𝜌𝜀^b	1.361×10^−18	2.933×10^−27	0.0	4.773×10^−19	1.361×10^−18
𝐻^b	3.804×10^−11	−2.051×10^−11	−2.051×10^−11	0.0	3.804×10^−11
𝑎^b	1.637×10^−11	2.338×10^1	2.338×10^1	1.521×10^1	0.0
𝑡^c	3.351×10^−3
𝑇^c		1.678×10^−3
𝜌𝜀^c			6.686×10^−3
𝐻^c				3.357×10^−3
𝑎^c					1.678×10^−3

aFinal/initial for each column parameter calculated based on the Friedman equations.
^bRatio predicted by Friedman equations (analytic) − ratio calculated by the GRMHD code (numerical).
^cAverage error: (numerical − analytic)/numerical averaged among all nonzero columns.